1pt

2.

At what point do the two carpet cleaners charge the same amount for their services?

1 pt

4.

Mariam solved the system of linear equations below correctly.

12x + 6y = 12 2y = –4x + 4

These were the last two steps of her work:

12x – 12x + 12 = 12 12 = 12 Which statement about the equations must be true?

A

y = 12

B

x = 12

C

There is no solution to this system of equations

D

This system of equations has infinitely many solutions.

1 pt

6.

Consider the following equations:

y = 6x + 2 and y = 3x + 2

Which of the following is true concerning the graphs of these equations?

A

The lines are identical.

B

The lines intersect at exactly one point.

C

The lines are parallel to each other.

D

The graphs of the lines intersect each other at the point (2, 2).

1 pt

9.

Which statement about this linear system must be true?

$2x=4y-1\phantom{\rule{0ex}{0ex}}y=\frac{1}{2}x+\frac{1}{4}\phantom{\rule{0ex}{0ex}}$

A

x = 0

B

y = 0

C

There is no solution to this system.

D

There are infinitely many solutions to this system.

1 pt

10.

The admission fee at the fair is $2 for children and $5 for adults. Today, 1,700 people enter the fair, and $5,470 is collected. How many children and adults attended?

A

children = 690, adults = 1,010

B

children = 1,010, adults = 690

C

children = 750, adults = 950

D

children = 1,300, adults = 400